Re: [FRIAM] Rosen and Self-perception

2008-07-04 Thread Marcus G. Daniels
Nick wrote: This way of looking at emotions identifies them as Situation/Response relations. Just as experienced features of the environment can lead to responses, [E1 - R1], so these feature response patterns can themselves be patterns that constitute new experienced features that, in turn,

[FRIAM] Pythagorean theorem

2008-07-04 Thread Robert Holmes
Re today's discussion about proofs of the Pythagorean theorem - here's a link to a page with ~80 proofs: http://www.cut-the-knot.org/pythagoras/index.shtml Proof #4 is the one that Frank I were so impressed with; #1 is the one that Nick (along with anyone who graduated St Johns) failed to

Re: [FRIAM] Pythagorean theorem

2008-07-04 Thread Roger Frye
Bogomoly's site doesn't mention it, but proof #69 can be thought of as an infinite double tiling of the plane. Furthermore, an infinite number of new proofs can be generated by sliding the square an increment in any direction and adding up the areas. So the number of proofs is not just 78.